1. The coils have the direction of the wrapped turns indicated on the top: if you look down from above the direction is clockwise. Using the right hand rule, what is the direction of the area vector for these loops of wire?

   		up
   		down
   		clockwise
   		counter-clockwise

Question 3

1. If the magnet is allowed to fall with its north pole down, that is, entering the coil first, in what direction does the magnetic field point?

   		up
   		clockwise (when viewed from above)
   		counter-clockwise (when viewed from above)
   		down

Question 4

1. Given the two directions in your answers to the previous two questions, what is the sign of the magnetic flux?

   		positive
   		negative
   		zero

Question 5

1. As the magnet enters, what will be the sign of the induced emf?

   		negative
   		zero
   		positive

a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child?

YesNo     

(b) Is the mass of the child a factor in determining his speed at the bottom of the slide?

YesNo     

(c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level?

following the curved rampdropping straight down     same speed in either case

(d) If friction is present, how would the conservation-of-energy equation be modified?


(e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 13.5 m. (Assume the child is initially at rest.)
m/s

Tortuga Tarpon Classic

The company has two separate research teams working on the project and they develop two distinctly different fishing combinations. The two rod and reel combinations are test marketed with guides and past tournament champions and demand forecasts are determined. Most fishing gear has a relatively short life due to continual product innovation. Manufacturing of the two combinations is estimated to require an upfront cost of $5 million to retool the machine shop. The process for manufacturing the two combinations differ and ongoing variable costs are not the same. The net cash flows for the entire ten year expected life of the product is shown in Figure 1 as Project A and Project B (all figures are $thousands of net cash flow).

Project A focuses on hand tooled fishing equipment which results in a more labor intensive process, but also allows for personalized features for customers. The price charged for customization offset the slower hand tooling process to generate substantial net cash flows. Part of the upfront $5 million includes the costs of training more machinists in the art of hand tooling, which is similar to watch making but with a few less moving parts. Project A is anticipated to generate lower cash flows in the early years due to the length of time required to get machinists who are adept at hand tooling to customer specifications. In fact, during the first year there will be continued expenses to attain these skills which causes year one net cash flows to be negative. Over time the cash flows increase as more machinists gain proficiency. The project is expected to experience lower cash flows towards the end of its life due to market saturation. Due to the quality of the reels, they are built to last and seldom fail or wear out. Technological obsolescence is certain although Tortuga will be investing cash flows into research and development to launch the next generation at the conclusion of the Tortuga Tarpon Classic life cycle.

Project B employs a mechanized approach to large scale production of standardized equipment. Although the approach does not allow for personalization, it does allow Tortuga to build its inventory quickly and capture positive net cash flows immediately. The upfront expense is almost completely devoted to tooling equipment procurement and the number of units produced will be much higher and at lower price points than the approach of Project A. At the end of both projects life it is assumed that there will be zero salvage value as the pace of innovation will require a complete re-tooling for the next generation and the useful life of the equipment will have been fully realized.

Brooks realizes that he will need to calculate the firm’s cost of capital discount rate and apply this to the cash flow projections of both projects. He recalls all of the assignments he completed at university and is thankful to have been so well-prepared for this task. He gets a cup of coffee, sits down at his desk, and gets to work.

Figure 1 Project Net Cash Flows for Tortuga Fishing Equipment ($thousands)

What are the net present value (NPV), internal rate of return (IRR), and Payback Periods for Projects A & B? Assuming a WACC of 6.54%

In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p₁and p₂ represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the appropriate test statistic value to analyze the claim at the 10% significance level?

• t₂₄₃ = −0.549

• z = 0.549

• t₂₄₃ = 0.549

• z = −0.549

Question 12 is updated. Please answer quickly.

12. Assume that Exhibit B.1 summarizes the 2010 population in the United States by race and gender. Exhibit B.2 presents the number of US residents in the four race/gender categories with each of five different risk factors. Use Exhibit B.3 as a template to calculate the prevalence rate (per 100) of these five risk factors among the four race/gender categories.

B1 White Males 110,941, White females 112,613, Black Males 18, 596, Black Females 20,333

B 2 is the prevalence in thousands. Need to calculate the Prevalence rate in B3

Prevalence (in Thousands)                  Prevalence rate (per 100)

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TT Lodging Establishment’s internal financial data is presented as follows: Financial Data: 2010 2011 Available Rooms 24,400 24,400 Occupancy % 72.00% 81.00% ADR $158.00 $166.00 Total #of Guests 12,410 15,330 Total Food Revenue $806,650 $1,287,720 Gross Operating Profit $486,000 $511,000 Total #of Food Plates 82,000 93,000 Total #of Seats in F&B Outlets 102 102 Rooms Occupied by Two or More People 3,000 3,850 Using the internal financial data table demonstrated above, calculate Revenue per Available Room (RevPAR), Revenue per Available Customer (RevPAC), Gross Operating Profit per Room, Average Food Service Check, Average Guest Occupancy per Room Sold, Multiple Occupancy, and Seat Turnover RESPECTIVELY for JTT Lodging Establishment in 2011 (assume that there are 365 days in a year and all F&B outlets are open 365 days in a year)

1a. From about some time in the 1950s until about 2010, prime age male labor force participation declined. This would tend to:

(a) shift both the short-run and the long-run aggregate supply curves to the left

(b) shift both the short-run and the long-run aggregate supply curves to the right

(c) shift only the short-run aggregate supply curve to the left

(d) shift only the long-run aggregate supply curve to the left

2a. In the 1970s, there was a large and sustained increase in the price of oil, as a result:

(a) both the short-run aggregate supply curve and the long-run aggregate supply shifted to the left

(b) only the long-run aggregate supply shifted to the left

(c) the aggregate demand curve shifted to the left

(d) the short-run aggregate supply curve shifted to the left and long-run aggregate supply did not shift

3a. Suppose that Congress passes an investment tax credit that is sustained and eventually leads to a higher level of capital. At first ____________________, and over a longer period of time, the long-run aggregate supply curve will _____________.

(a) only the long-run aggregate supply curve shifts and it shifts to the right, the long-run aggregate supply curve will shift to right a bit more

(b) only the aggregate demand curve changes and it shifts to the left, remain

(c) only the long-run aggregate supply curve shifts and it shifts to the right, the long-run aggregate supply curve will return to its original position

(d) only the aggregate demand curve changes and it shifts to the right, also shift to the right

In 2010, UBS Bhd. issued RM500 million of 4.5% senior unsecured six-year convertible bonds. The bonds were issued at the face value of RM1,000 per bond. The conversion price is RM38.75 per share, in which is a premium of 35% to the recent stock price.

Required:

(i) Suppose that the yield on bond is 5.5% and the bondholders can redeem the bond at a premium of 10% to their nominal value upon maturity, analyse the floor value of bond.

(ii) Analyse whether the bondholders should convert the bonds, given that the share price of UBS in 2016 is RM45.

Analyse also the additional shares will UBS need to issue if the bondholders do convert the bonds.

A study by Lefèvre et al. (2010, PLoSONE 5: e9546) investigated whether alcohol consumption affected peoples' attractiveness to the mosquito, Anopheles gambiae, which is the primary vector for malaria in Africa. A total of 43 human participants were tested, and the attractiveness of each participant was tested twice. The first test collected a baseline attractiveness for each participant. The participants then drank either a liter of beer (n=25 participants) or a liter of water (n=18), and after 15 minutes, the test was repeated. The type of drink was randomly determined for each subject.

To estimate a person's attractiveness to A. gambiae, a vial of 50 mosquitos was released into the Y-tube apparatus shown in Figure 1. Participants were seated in a small tent, which was connected by an air hose to one of two mosquito traps. This allowed the mosquitos to detect and respond to olfactory cues from the participants, without exposing the participants to the mosquitos. The proportion of mosquitos that flew toward the participant was recorded as the response variable.

You can find the Lefèvre data on the website in the file lefevre_2010_mosquitos_and_beer.csv. Each row in in the data represents a single participant. The first column is an id code. The second column is a factor that indicates the subject’s treatment-level for drink (beer vs. water). The third column gives the proportion of mosquitos that flew in the participants' direction in the baseline measurement, and the fourth column gives the proportion after drinking. Column five is the change from baseline after drinking (i.e., afterDrink – beforeDrink).

I

In the following questions, we will use two different strategies to analyze the data. In Question 2, we will conduct two completely separate tests that compare attractiveness before drinking a beverage to attractiveness after drinking a beverage, and then compare the result that we get with water to the result with beer (if it helps, imagine two different research groups test the same question, but one uses water and one uses beer; afterward, they meet up and compare notes). In the second strategy (Question 4), we will directly analyze the difference in average change from baseline for beer versus water. One of these strategies is a much better approach to use in real life. Which one is better, and why?

In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Assuming α = 0.10, does the evidence support the policymakers' claim?

Group of answer choices

Yes, because the test statistic value is greater than the critical value.

No, because the p-value is greater than the significance level.

Yes, because the p-value is less than the critical value.

No, because the test statistic value is less than the critical value.